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Finding the Fourth Proportional to 7,794.66, 11,697.90 and 5,719.92

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Solution

The fourth proportional to 7,794.66, 11,697.90 and 5,719.92 is: 8,584.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.66 : 11,697.90 = 5,719.92 : x
  2. Step 2: Convert to fraction form
    7,794.66/11,697.90 = 5,719.92/x
  3. Step 3: Cross multiply
    7,794.66x = 11,697.90 × 5,719.92
  4. Step 4: Simplify right side
    7,794.66x = 66,911,052.17
  5. Step 5: Solve for x
    x = 66,911,052.17/7,794.66
  6. Step 6: Final answer
    x = 8,584.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.